Canonical Euler splitting method for parabolic partial functional differential algebraic equations

被引：0
|
作者：
Liu, Hongliang [1 ,2 ]
You, Yilin [1 ]
Li, Haodong [1 ]
Li, Shoufu [1 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China
[2] Minist Educ, Key Lab Control Power Transmiss & Convers SJTU, Shanghai 200240, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2023年 / 190卷
基金：
中国国家自然科学基金;
关键词：
Canonical Euler splitting method; Composite stiff problems; Stability; Convergence; RUNGE-KUTTA METHODS; GLOBAL STABILITY; DELAY; SYSTEMS; CONVERGENCE; COLLOCATION; SCHEME; MODEL;
D O I：
10.1016/j.apnum.2023.04.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel canonical Euler splitting method is presented for semilinear composite stiff parabolic partial functional differential algebraic equations with initial and Dirichlet bound-ary conditions. The original partial differential problems are transformed into the semi-discrete problems by spatial discretization, and then the canonical Euler splitting method is employed to solve the resulting semi-discrete problems. Under appropriate assumptions, the stability and convergence theories of this method are established. A series of numerical experiments are given to illustrate the effectiveness of this method and the correctness of theoretical results.Numerical results also demonstrate that the constructed method can significantly improve the calculation speed.(c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：65 / 83
页数：19
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